312328141952 has 72 divisors (see below), whose sum is σ = 636341999355. Its totient is φ = 152696006400.

The previous prime is 312328141949. The next prime is 312328141967. The reversal of 312328141952 is 259141823213.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 156164070976 + 156164070976 = 395176^2 + 395176^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=395176.

It is a super-3 number, since 3×312328141952³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 297171827 + ... + 297172877.

Almost surely, 2^312328141952 is an apocalyptic number.

312328141952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312328141952

312328141952 is an abundant number, since it is smaller than the sum of its proper divisors (324013857403).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312328141952 is an frugal number, since it uses more digits than its factorization.

312328141952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 1100 counting only the distinct ones).

The product of its digits is 103680, while the sum is 41.

The spelling of 312328141952 in words is "three hundred twelve billion, three hundred twenty-eight million, one hundred forty-one thousand, nine hundred fifty-two".